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Finding the Fourth Proportional to 354,319.45, 531,370.02 and 101,532.08

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Solution

The fourth proportional to 354,319.45, 531,370.02 and 101,532.08 is: 152,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,319.45 : 531,370.02 = 101,532.08 : x
  2. Step 2: Convert to fraction form
    354,319.45/531,370.02 = 101,532.08/x
  3. Step 3: Cross multiply
    354,319.45x = 531,370.02 × 101,532.08
  4. Step 4: Simplify right side
    354,319.45x = 53,951,105,089.41
  5. Step 5: Solve for x
    x = 53,951,105,089.41/354,319.45
  6. Step 6: Final answer
    x = 152,266.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.